Publications

3. The completeness problem on 3-dimensional non-unimodular Lie groups (with  Ana Cristina Ferreira), Commun. Anal. Geom., to appear, arXiv:2504.10998

2. Isometries of 3-dimensional semi-Riemannian Lie groups (with  Ana Cristina Ferreira and Abdelghani Zeghib), Transform. Groups (2025), doi:10.1007/s00031-025-09930-2, arXiv:2502.17193

1. The completeness problem on the pseudo-homothetic Lie group (with  Ana Cristina Ferreira and Abdelghani Zeghib), Differ. Geom. Appl. (2025), doi:10.1016/j.difgeo.2025.102288, arXiv:2410.20612

arXiv Preprints 

4. Closed geodesics on compact semi-Riemannian manifolds (with  Souheib Allout), arXiv:2610.23552 (2026)

Manuscripts in preparation 

- Semicomplete left-invariant holomorphic Riemannian metrics on complex Lie groups

- Riemannian first integrals and closed timelike geodesics (with  Souheib Allout)